The development of ancient mathematics in China:

Among the four civilizations in the ancient world, China's mathematics has the longest lasting prosperity. In14th century BC, China classical mathematics experienced three development climaxes: Han Dynasty, Wei, Jin, Southern and Northern Dynasties and Song and Yuan Dynasties, and reached its peak in Song and Yuan Dynasties.

Unlike Greek classical mathematics, which centered on proving theorems, China ancient mathematics focused on creating algorithms, especially various algorithms for solving equations. From linear equations to high-order polynomial equations, even indefinite equations, ancient mathematicians in China created a series of advanced algorithms (called "technology" by mathematicians in China), and they used these algorithms to solve corresponding types of algebraic equations, thus solving various scientific and practical problems that led to these equations.

In particular, geometric problems are also reduced to algebraic equations, and then solved by programmed algorithms. Therefore, China ancient mathematics has obvious algorithmic and mechanized characteristics.

Although there are great differences in systems, contents and methods between ancient and modern education, this is largely due to the different historical backgrounds and the lack of objective standards for the comparison between them.

In addition, ancient education and contemporary education are not two relatively isolated themes, but have complex historical and inheritance relations.

For example, the contemporary college entrance examination and the ancient imperial examination are not only inherited, but also have different operations, covering many factors such as politics, history and economy, which cannot be analyzed clearly from the perspective of education.

However, the author believes that there is a sentence in "University" that covers the essence of ancient education. Based on this sentence, this paper briefly expounds the enlightenment of ancient teaching thought to contemporary education:

There is a cloud in "University": "The law of a university is forbidden to be called before it is issued. When it can be called, it is called the grandson, and it is called Mo. These four things are also promoted by teaching. "